Matrix-Type Multiple Reciprocity Boundary Element Method for Solving Three-Dimensional Two-Group Neutron Diffusion Equations.

• ITAGAKI Masafumi

  Faculty of Engineering Hokkaido University

• SAHASHI Naoki

  Kozo Keikaku Engineering Inc.

Bibliographic Information

Other Title

• Matrix-Type Multiple Reciprocity Bounda

Abstract

The multiple reciprocity boundary element method has been applied to three-dimensional two-group neutron diffusion problems. A matrix-type boundary integral equation has been derived to solve the first and the second group neutron diffusion equations simultaneously. The matrix-type fundamental solutions used here satisfy the equation which has a point source term and is adjoint to the neutron diffusion equations. A multiple reciprocity method has been employed to transform the matrix-type domain integral related to the fission source into an equivalent boundary one. The higher order fundamental solutions required for this formulation are composed of a series of two types of analytic functions. The eigenvalue itself is also calculated using only boundary integrals. Three-dimensional test calculations indicate that the present method provides stable and accurate solutions for criticality problems.

Journal

• Journal of Nuclear Science and Technology

  Journal of Nuclear Science and Technology 34 (7), 655-665, 1997

  Atomic Energy Society of Japan

Keywords

• two-group neutron diffusion equations
• matrix-type boundary integral equation
• matrix-type fundamental solutions
• eigenvalues
• source iteration
• Wielandt's algorithm
• multiple reciprocity method
• criticality

Details

• CRID: 1390282679072946944
• NII Article ID: 10002077499
• NII Book ID: AA00703720
• DOI: 10.3327/jnst.34.655
• COI: 1:CAS:528:DyaK2sXls1Kitr4%3D
• ISSN: 18811248
• ISSN: 00223131
• NDL BIB ID: 4260274
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I4260274
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed